Results 21 to 30 of about 2,250,576 (244)
Communications in Analysis and Mechanics, 2022 In the framework of the self-consistent Maxwell-Pauli theory, the non-linear Pauli equation is obtained. Stationary and nonstationary solutions of the nonlinear Pauli equation for the hydrogen atom are studied. We show that spontaneous emission and the related rearrangement of the internal structure of an atom, which is traditionally called a ...
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Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body [PDF]
, 2005 A static mixed boundary value problem (BVP) of physically nonlinear elasticity for a continuously inhomogeneous body is considered. Using the two-operator Green-Betti formula and the fundamental solution of an auxiliary linear operator, a non-standard ...
Mikhailov, SE
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Applied Mathematics Letters, 2002 The aim of this paper is to prove the existence and uniqueness of weak solutions to a nonlinear beam equation with linear boundary and initial conditions. The nonlinear term appearing in the beam equation is \([g(w_{xx})]_{xx}\), where \(w=w(x,t)\) is the deflection, \(g\) is a given nonlinear function satisfying a local Lipschitz condition only.
Azmy S. Ackleh +2 more
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On Schrödinger Equations with Concentrated Nonlinearities [PDF]
Annals of Physics, 1995 24 pages with figures, compressed and uuencoded ps ...
JONALASINIO G +2 more
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Structured Systems of Nonlinear Equations
SIAM Journal on Applied Mathematics, 2023 In a "structured system" of equations, each equation depends on a specified subset of the variables. In this article, we explore properties common to "almost every" system with a fixed structure and how the properties can be read from the corresponding connection graph.
Sana Jahedi +2 more
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Application of fractional sub-equation method to nonlinear evolution equations [PDF]
, 2018 In this paper, we constructed a traveling wave solutions expressed by three types of functions, which are hyperbolic, trigonometric, and rational functions.
Abdelkawy, Mohamed A. A. +3 more
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Nonlinear A-Dirac Equations [PDF]
Advances in Applied Clifford Algebras, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Poisson's Equation in Nonlinear Filtering [PDF]
SIAM Journal on Control and Optimization, 2014 25 pages; accepted to SIAM Journal on Control and ...
Richard S. Laugesen +3 more
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Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation [PDF]
, 2018 This paper obtains the dark, bright, dark-bright, dark-singular optical and singular soliton solutions to the nonlinear Schrödinger equation with quadratic-cubic nonlinearity (QC-NLSE), which describes the propagation of solitons through optical fibers ...
Yusuf, Abdullahi +3 more
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Efficient high-order finite difference methods for nonlinear Klein–Gordon equations. I: Variants of the phi-four model and the form-I of the nonlinear Klein–Gordon equation [PDF]
, 2015 In this paper, the problem of solving some nonlinear Klein–Gordon equations (KGEs) is considered. Here, we derive different fourth- and sixth-order explicit and implicit algorithms to solve the phi-four equation and the form-I of the nonlinear Klein ...
Queiruga-Dios, Araceli +3 more
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